Given numbers are 997,491,830,935,624

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 997,491,830,935,624 is 23705599529040.

Find LCM of 997,491,830,935,624 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 997 x 491 x 83 x 187 x 312 = 23705599529040

Therefore, the lowest common multiple of 997,491,830,935,624 is 23705599529040.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

997 x 491 x 830 x 935 x 624 = 237055995290400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

997 : 1, 997

491 : 1, 491

830 : 1, 2, 5, 10, 83, 166, 415, 830

935 : 1, 5, 11, 17, 55, 85, 187, 935

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,491,830,935,624, is 1.

Now, the common factors can be found like this.

997:997

491:491

830:2x 5x 83

935:5x 11x 17

624:2x 2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 237055995290400/(1x10)

LCM = 237055995290400/10

LCM = 23705599529040

Thus, we can understand that the LCM of 997,491,830,935,624 is 23705599529040.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 157, 594, 328, 746, 282
• LCM of 467, 518, 914, 341, 404
• LCM of 758, 499, 527, 328, 505
• LCM of 622, 897, 357, 913, 835
• LCM of 537, 650, 423, 525, 154

1. What is the LCM of 997, 491, 830, 935, 624?

Answer: LCM of 997, 491, 830, 935, 624 is 23705599529040.

2. How to calculate the LCM of 997, 491, 830, 935, 624?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 997, 491, 830, 935, 624.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.